In many applications the observed data can be viewed as a censored high dimensional full data random variable X . By the curse of dimensionality it is typically not possible to construct estimators which are asymptotically efficient at every probability distribution in a semiparametric censored data model of such a high dimensional censored data structure. We provide a general method for constr...

Due to cost and time consideration, it is difficult to observe all of the product’s lifetime within a reasonable time period. Hence, censored lifetime data is usually collected in real applications. Even when accelerated life tests (ALT) are used, censoring is usually inevitable. Especially for highly reliable products nowadays, the censoring proportions are more likely greater than 0.5. Such d...

In wood engineering, lower quantile estimation is vital to the safety of the construction with wood materials. In this thesis, we will first study the censored Weibull maximum likelihood estimate (MLE) of the lower quantile as in the current industrial standard D5457 (ASTM, 2004a) from a statistical point of view. According to our simulations, the lower quantile estimated by the censored Weibul...